Accession Number : AD0684547

Title :   TWO LECTURES CONCERNING PRESSURIZED CRACKS,

Corporate Author : NORTH CAROLINA STATE UNIV RALEIGH APPLIED MATHEMATICS RESEARCH GROUP

Personal Author(s) : Sneddon,Ian N.

Report Date : 28 FEB 1969

Pagination or Media Count : 36

Abstract : The first lecture deals with the problem of determining the distribution of surface stress necessary to maintain or produce a Griffith Crack of a prescribed shape. By use of the theory of Fourier transforms and of the theory of dual integral equations a solution is found in the form which involves two simple integrations. In the second lecture it is shown that the problem of determining the crack energy and the stress intensity factor for a cruciform crack deformed by internal pressure can be reduced to that of solving an infinite system of simultaneous linear algebraic equations. By comparing the numerical values derived by truncating this system with those calculated by Stallybrass it is shown that a remarkably accurate approximation is obtained by replacing the infinite system by some five or six equations. (Author)

Descriptors :   (*CRACKS, STRESSES), (*STRESSES, BOUNDARY VALUE PROBLEMS), SURFACE PROPERTIES, PRESSURE, FOURIER ANALYSIS, SIMULTANEOUS EQUATIONS, INTEGRAL TRANSFORMS, INTEGRAL EQUATIONS, SERIES(MATHEMATICS), SYMPOSIA

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE